论文标题

部分可观测时空混沌系统的无模型预测

A differential geometric description of thermodynamics in continuum mechanics with application to Fourier-Navier-Stokes fluids

论文作者

Califano, Federico, Rashad, Ramy, Stramigioli, Stefano

论文摘要

连续机械系统的热力学的描述以外部演算的无坐标语言介绍。首先,给出了制定相关保护法所需的数学工具的仔细描述。其次,遵循公理方法,将描述两个热力学原理,从而导致对流形的熵创造机制的一致描述。第三,将携带对傅里叶 - 谷甲蒸发液的专业化。

A description of thermodynamics for continuum mechanical systems is presented in the coordinate-free language of exterior calculus. First, a careful description of the mathematical tools that are needed to formulate the relevant conservation laws is given. Second, following an axiomatic approach, the two thermodynamic principles will be described, leading to a consistent description of entropy creation mechanisms on manifolds. Third, a specialisation to Fourier-Navier-Stokes fluids will be carried through.

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